45933643200 has 84 divisors (see below), whose sum is σ = 150700643480. Its totient is φ = 12248970240.

The previous prime is 45933643127. The next prime is 45933643207. The reversal of 45933643200 is 234633954.

45933643200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45933643207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4779955 + ... + 4789554.

Almost surely, 2^45933643200 is an apocalyptic number.

45933643200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45933643200 is an abundant number, since it is smaller than the sum of its proper divisors (104767000280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45933643200 is a wasteful number, since it uses less digits than its factorization.

45933643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9569534 (or 9569519 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 45933643200 in words is "forty-five billion, nine hundred thirty-three million, six hundred forty-three thousand, two hundred".